231433300240000 has 320 divisors, whose sum is σ = 596823011908200. Its totient is φ = 89300541440000.

The previous prime is 231433300239971. The next prime is 231433300240019. The reversal of 231433300240000 is 42003334132.

It can be written as a sum of positive squares in 20 ways, for example, as 153428652303424 + 78004647936576 = 12386632^2 + 8832024^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×231433300240000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291523602 + ... + 292316398.

Almost surely, 2^{231433300240000} is an apocalyptic number.

231433300240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231433300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298411505954100).

231433300240000 is an abundant number, since it is smaller than the sum of its proper divisors (365389711668200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231433300240000 is an frugal number, since it uses more digits than its factorization.

231433300240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792961 (or 792934 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 231433300240000 its reverse (42003334132), we get a palindrome (231475303574132).

The spelling of 231433300240000 in words is "two hundred thirty-one trillion, four hundred thirty-three billion, three hundred million, two hundred forty thousand".